Category S5: Ondip Family

These polychora belong to the ondip and gondip regiments. Ondip is the uniform polychoron resulting in blending four sidpiths together and gondip is its conjugate (blending 4 quidpiths). There are ten known scaliforms in each regiment plus three fissaries (some members are "almost in" the regiment though due to some absent edges). These have 128 vertices and their verfs are blends of two various verfs amongst the sidpith (gittith for gondip) regiment. This regiment acts similar to the idcossids. Four of these have octagon² symmetry (sisoxdip, sisocaxdip, gisoxdip, and gisocaxdip), while the rest of them have anti-square² symmetry. I found these in mid-March 2006, not long after Mason Green found ondip. The fissaries were found and all of these were named when I typed up this page on March 10, 2012. Three new ones (S959-S964) from each regiment was found when sasdap and gasdap (uniforms 2190 and 2191) were found and have a different symmetry (exsquadapic as opposed to exsquidappic)

Ondip Regiment

These are in (or almost in) the ondip regiment.

Verfs of Fully Symmetric Ondip Scaliforms

The first two are fully symmetric with Octagon Squared Symmetry

S120. Sisoxdip - (sis OX dip / small stelloctagonal expandiduoprism) - cells are 64 tets and 16 socco-tepcus blends. This one is formed by blending 2 steths and 2 shados. It is orientable and tame.

S121. Sisocaxdip - (SI so CAX dip / small stelloctagonal cubiexpandiduoprism) - cells are 32 cubes (doubled like 8/2 prism), 64 cubes, and 16 sroh-topfu blends. This one is formed by blending 2 cacos and 2 sniptos. It is non-orientable and wild.

Verfs of Half Symmetric Ondip Scaliforms

These eight have half the symmetry with Antisquare Squared Symmetry

S122. Sadiscagop - (sa DIS ca gop / small disquare cubantigrand prism) - cells are 64 tets, 64 trips, 16 cubes, and 16 sroh-socco blends. This one is formed by blending 2 steths and 2 snappoths. It is non-orientable and wild.

S123. Sadiscus Cagop - (sa DIS cus CAG op / small disquare cubisnub cubantigrand prism) - cells are 32 tets, 16 cubes, 32 cubes, and 16 sroh-socco blends. This one is formed by blending 2 steths and 2 sniptos. It is non-orientable and wild.

S124. Sidsdipcus Cagop - (sids DIP cus CAG op / small disquare disprismatocubisnub cubantigrand prism) - cells are 32 tets, 128 trips, 16 cubes, 32 cubes, and 16 sroh-socco blends. This one is formed by blending 2 snappoths and 2 dippits. It is non-orientable and wild.

S125. Sadspacus Cagop - (sad SPACK us CAG op / small disquare prismatocubisnub cubantigrand prism) - cells are 64 tets, 64 trips, 48 cubes, and 16 tepcusses. This one is formed by blending 2 steths and 2 iquipadahs. It is orientable and wild.

S126. Sidsadip Cusagop - (SID sa dip CUSE a gop / small disquare disprismatocubisnub antigrand prism) - cells are 64 tets, 128 trips, 32 cubes, and 16 topfus. This one is formed by blending 2 snappoths and 2 iquipadahs. It is non-orientable and wild.

S127. Sidsadcuscagop - (sid SAD cus CAG op / small disquare dicubisnub cubantigrand prism) - cells are 32 tets, 16 cubes, 64 cubes, and 16 sirco-topfu blends. This one is formed by blending 2 scucoths and 2 sniptos. It is non-orientable and wild.

S128. Sidsposagop - (sid SPOSS a gop / small disquare prismatosnub antigrand prism) - cells are 32 tets, 64 trips, and 16 sirco-tepcus blends. This one is formed by blending 2 steths and 2 cacupos. It is non-orientable and tame.

S129. Sidspacusagop - (SID spa CUSE a gop / small disquare prismatocubisnub antigrand prism) - cells are 32 tets, 64 trips, 32 cubes, and 16 sroh-topfu blends. This one is formed by blending 2 cacos and 2 snappoths. It is non-orientable and wild.

Verfs of Altered Half Symmetric Ondip Scaliforms

These three have half the symmetry with an altered antisquare squared symmetry - exsquadapic.

S1577. Sascudap - (SAS cu dap / small altersquare cubisnub duoantiprism) - cells are 16+64 cubes, 64 trips, and 16 2squacus. It is orientable, wild and rabid.

S1578. Sasbedap - (SAS be dap / small altersquare blended duoantiprism) - cells are 16 cubes, 64 trips, and 16 socco-srohs. It is non-orientable, wild and rabid.

S1579. Sasbecudap - (SAS be CU dap / small altersquare blended cubisnub duoantiprism) - cells are 64 tets, 64 trips, 16+64 cubes, and 16 socco-srohs. It is non-orientable, wild and rabid.

Verfs of Fissary Ondip Scaliforms

Fissary Cases

SF94. Sesocpexdip - (SESS ok PEX dip / small stelloctagonal cubiprismatoexpandiduoprism) - cells are 128 trips, 64 cubes, and 16 socco-tepcusses.

SF95. Sesopcaxdip - (SES op CAX dip / small stelloctagonal prismatocubiexpandiduoprism) - cells are 64 tets, 128 trips, 32 cubes, and 16 sroh-topfus.

SF96. Sofidspacusagop - (so FID spa CUSE a gop / small fissary disquare prismatocubisnub antigrand prism) - cells are 32 tets, 64 trips, 32 cubes, and 32 2-squicu blends (paired). This one is formed by blending 2 stefacoths and 2 shafiptos. It is fissary, non-orientable and wild.

SF97. Sofidspid Cuscagop - (so FID spid cus CAG op / small fissary disquare prismatodicubisnub cubantigrand prism) - cells are 64 tets, 64 trips, 16 cubes, 64 cubes, and 32 squicus (paired). This one is formed by blending 2 sidpiths and 2 scucoths. It is fissary, orientable and wild.

SF98. Sofidsdip Cuscagop - (so FIDS dip cus CAG op / small fissary disquare diprismatocubisnub cubantigrand prism) - cells are 32 tets, 128 trips, 16 cubes, 32 cubes, and 32 squicus (paired). This one is formed by blending 2 sidpiths and 2 cacupos. It is fissary, orientable and wild.

SF99. Sofidspic Decsagop - (so FID spic DEK sa gop / small fissary disquare prismatocubidicubisnub antigrand prism) - cells are 64 trips, 16+32+32 cubes, and 16 sroh-soccoes.

SF100. Sofids Scapcagop - (SO fids SCAP ka gop / small fissary disquare snubcubiprismatocubantigrand prism) - cells are 64 trips, 16+32 cubes, and 16 sirco-topfus.

SF101. Sofids Decsagop - (SO fids DEK sa gop / small fissary disquare dicubisnub antigrand prism) - cells are 32 tets, 64 trips, 32+32 cubes, and 16 sirco-tepcusses.

SF102. Sofids Cadpagop - (SO fids CAD pa gop / small fissary disquare cubidiprismatantigrand prism) - cells are 32 tets, 64+64 trips, 16 cubes, and 16 sirco-topfus.

Gondip Regiment

These are in (or almost in) the gondip regiment.

Verfs of Fully Symmetric Gondip Scaliforms

The first two are fully symmetric with Octagon Squared Symmetry

S130. Gisoxdip - (gis OX dip / great stelloctagonal expandiduoprism) - cells are 64 tets and 16 gocco-chag blends. This one is formed by blending 2 gittiths and 2 gahdos. It is orientable and tame and it's verf is convex.

S131. Gisocaxdip - (GI so CAX dip / great stelloctagonal cubiexpandiduoprism) - cells are 32 cubes (doubled like 8/2 prism), 64 cubes, and 16 groh-tustopfu blends. This one is formed by blending 2 gacos and 2 gniptos. It is non-orientable and wild.

Verfs of Half Symmetric Gondip Scaliforms

These eight have half the symmetry with Antisquare Squared Symmetry

S132. Gadiscagop - (ga DIS ca gop / great disquare cubantigrand prism) - cells are 64 tets, 64 trips, 16 cubes, and 16 groh-gocco blends. This one is formed by blending 2 gittiths and 2 gnappoths. It is non-orientable and wild.

S133. Gadiscus Cagop - (ga DIS cus CAG op / great disquare cubisnub cubantigrand prism) - cells are 32 tets, 16 cubes, 32 cubes, and 16 groh-gocco blends. This one is formed by blending 2 gittiths and 2 gniptos. It is non-orientable and wild.

S134. Gidsdipcus Cagop - (gids DIP cus CAG op / great disquare disprismatocubisnub cubantigrand prism) - cells are 32 tets, 128 trips, 16 cubes, 32 cubes, and 16 groh-gocco blends. This one is formed by blending 2 gnappoths and 2 picnuts. It is non-orientable and wild.

S135. Gadspacus Cagop - (gad SPACK us CAG op / great disquare prismatocubisnub cubantigrand prism) - cells are 64 tets, 64 trips, 48 cubes, and 16 chags (cross-hatch gocco). This one is formed by blending 2 gittiths and 2 gaquipadahs. It is orientable and wild.

S136. Gidsadip Cusagop - (GID sa dip CUSE a gop / great disquare disprismatocubisnub antigrand prism) - cells are 64 tets, 128 trips, 32 cubes, and 16 tustopfus (2 stop fusion). This one is formed by blending 2 snappoths and 2 iquipadahs. It is non-orientable and wild.

S137. Gidsadcuscagop - (gid SAD cus CAG op / great disquare dicubisnub cubantigrand prism) - cells are 32 tets, 16 cubes, 64 cubes, and 16 querco-tustopfu blends. This one is formed by blending 2 gacucoths and 2 gniptos. It is non-orientable and wild.

S138. Gidsposagop - (gid SPOSS a gop / great disquare prismatosnub antigrand prism) - cells are 32 tets, 64 trips, and 16 girco-chag blends. This one is formed by blending 2 gittiths and 2 gacupos. It is non-orientable and tame.

S139. Gidspacusagop - (GID spa CUSE a gop / great disquare prismatocubisnub antigrand prism) - cells are 32 tets, 64 trips, 32 cubes, and 16 groh-tustopfu blends. This one is formed by blending 2 gacos and 2 gnappoths. It is non-orientable and wild.

These three have half the symmetry with an altered antisquare squared symmetry - exsquadapic.

S1580. Gascudap - (GAS cu dap / great altersquare cubisnub duoantiprism) - cells are 16+64 cubes, 64 trips, and 16 2rasquacus. It is orientable, wild and rabid.

S1581. Gasbedap - (GAS be dap / great altersquare blended duoantiprism) - cells are 16 cubes, 64 trips, and 16 gocco-grohs. It is non-orientable, wild and rabid.

S1582. Gasbecudap - (GAS be CU dap / great altersquare blended cubisnub duoantiprism) - cells are 64 tets, 64 trips, 16+64 cubes, and 16 gocco-grohs. It is non-orientable, wild and rabid.

Verfs of Fissary Gondip Scaliforms

Fissary Cases

SF103. Gesocpexdip - (GESS ok PEX dip / small stelloctagonal cubiprismatoexpandiduoprism) - cells are 128 trips, 64 cubes, and 16 gocco-chags.

SF104. Gesopcaxdip - (GES op CAX dip / small stelloctagonal prismatocubiexpandiduoprism) - cells are 64 tets, 128 trips, 32 cubes, and 16 groh-tustopfus.

SF105. Gofidspacusagop - (go FID spa CUSE a gop / great fissary disquare prismatocubisnub antigrand prism) - cells are 32 tets, 64 trips, 32 cubes, and 32 2-rasquacu blends (paired). This one is formed by blending 2 gittifcoths and 2 gahfiptos. It is fissary, non-orientable and wild.

SF106. Gofidspid Cuscagop - (go FID spid cus CAG op / great fissary disquare prismatodicubisnub cubantigrand prism) - cells are 64 tets, 64 trips, 16 cubes, 64 cubes, and 32 rasquacus (paired). This one is formed by blending 2 quidpiths and 2 gacucoths. It is fissary, orientable and wild.

SF107. Gofidsdip Cuscagop - (go FIDS dip cus CAG op / great fissary disquare diprismatocubisnub cubantigrand prism) - cells are 32 tets, 128 trips, 16 cubes, 32 cubes, and 32 rasquacus (paired). This one is formed by blending 2 quidpiths and 2 gacupos. It is fissary, orientable and wild.

SF108. Gofidspic Decsagop - (go FID spic DEK sa gop / small fissary disquare prismatocubidicubisnub antigrand prism) - cells are 64 trips, 16+32+32 cubes, and 16 groh-goccoes.

SF109. Gofids Scapcagop - (GO fids SCAP ka gop / small fissary disquare snubcubiprismatocubantigrand prism) - cells are 64 trips, 16+32 cubes, and 16 querco-tustopfus.

SF110. Gofids Decsagop - (GO fids DEK sa gop / small fissary disquare dicubisnub antigrand prism) - cells are 32 tets, 64 trips, 32+32 cubes, and 16 querco-chags.

SF111. Gofids Cadpagop - (GO fids CAD pa gop / small fissary disquare cubidiprismatantigrand prism) - cells are 32 tets, 64+64 trips, 16 cubes, and 16 querco-tustopfus.

Conjugates

Below shows how these pair up as conjugates.

Conjugates

The following are conjugate pairs: swap first letter "s" - "g", i.e. sisoxdip-gisoxdip.

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